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Finding the Fourth Proportional to 9,224.51, 13,833.84 and 2,983.00

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Solution

The fourth proportional to 9,224.51, 13,833.84 and 2,983.00 is: 4,473.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.51 : 13,833.84 = 2,983.00 : x
  2. Step 2: Convert to fraction form
    9,224.51/13,833.84 = 2,983.00/x
  3. Step 3: Cross multiply
    9,224.51x = 13,833.84 × 2,983.00
  4. Step 4: Simplify right side
    9,224.51x = 41,266,369.39
  5. Step 5: Solve for x
    x = 41,266,369.39/9,224.51
  6. Step 6: Final answer
    x = 4,473.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.